Can someone help me with this one-
Quadrilaterals are a special type of polygon because _______________.
A. they always have exactly four sides
B. the sum of their interior angles always measures 180°
C. they always have opposite sides that are parallel
D. they are always concave
Thanks
-MC
Look at what a simple Google search found.
http://www.google.com/search?source=ig&hl=en&rlz=1G1GGLQ_ENUS328&q=Quadrilaterals&aq=f&oq=
Thanks
-MC
The correct answer is A. Quadrilaterals always have exactly four sides.
To verify this, you can recall the definition of a quadrilateral, which is a polygon with four sides. By definition, quadrilaterals have exactly four sides and are classified as such. Therefore, option A is correct.
Options B, C, and D can be eliminated by understanding the properties of quadrilaterals.
Option B states that the sum of the interior angles of a quadrilateral always measures 180°. While this statement is true for any polygon, it is not exclusive to quadrilaterals. Hence, it is not a special property that distinguishes quadrilaterals from other polygons.
Option C claims that quadrilaterals always have opposite sides that are parallel. However, this is not true for all quadrilaterals. Some quadrilaterals, like kites or irregular quadrilaterals, do not have opposite sides that are parallel. Therefore, option C does not universally apply to all quadrilaterals.
Option D suggests that quadrilaterals are always concave. However, this is also incorrect. Quadrilaterals can be both convex and concave depending on the formation of their angles. So, not all quadrilaterals are concave.
Hence, the only accurate statement that defines quadrilaterals is that they always have exactly four sides (option A).